(a) An estimator is consistent if it converges in probability to the true parameter value, i.e....
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
(a) An estimator is consistent if it converges in probability to the true parameter value, i.e. if ŝ → ß in probability. Prove that the OLS estimator is consistent. (b) We say that is unbiased if Eß = ß. Prove that the OLS estimator is unbiased. (Hint: Use all available resources to solve the problem. Try to understand the most important conceptual aspects of these two proofs.) (a) An estimator is consistent if it converges in probability to the true parameter value, i.e. if ŝ → ß in probability. Prove that the OLS estimator is consistent. (b) We say that is unbiased if Eß = ß. Prove that the OLS estimator is unbiased. (Hint: Use all available resources to solve the problem. Try to understand the most important conceptual aspects of these two proofs.)
Expert Answer:
Answer rating: 100% (QA)
a To prove that the OLS estimator is consistent we need to show that it converges in probability to the true parameter value The OLS estimator is give... View the full answer
Related Book For
Advertising and Integrated Brand Promotion
ISBN: 978-0538473323
6th edition
Authors: Thomas O'Guinn, Chris Allen, Richard Semenik
Posted Date:
Students also viewed these business communication questions
-
This question concerns lexical grammars. (a) Tree Adjoining Grammars contain two types of elementary tree. (i) What are these trees called? [1 mark] (ii) If one were building a grammar for English...
-
The value of the complex integral: [(z/z*) dz where C is the boundary of the half annulus (as shown in figure below), _(upto two decimal places) is y -3 -2 0 2 3
-
When members of your team coordinate how to prepare the progress report, in which direction is the flow of communication?
-
Find the speed of the electrons in Problem 87, this time using a correct relativistic calculation. As before, express your answer as a fraction times the speed of light. a. 0.301c b. 0.312c c. 0.412c...
-
'Japanese companies that have used just-in-time (JIT) for five or more years are reporting close to a 30 per cent increase in labour productivity, a 60 per cent reduction in inventories, a 90 per...
-
Test for cross-section dependence for the Gasoline example (as in problem 13.4). Do the same for the Public Capital example. What do you conclude? Data From Problem 13.4: For the Grunfeld example,...
-
Campbell Corporation reports regular taxable income of $210,000 in the current year. Campbell takes into account the following facts when calculating the $210,000 amount. Campbell deducts $100,000...
-
1. What is the difference between instrumental and terminal values? 2. Provide an example of how each of the Rokeach values might be linked with a brand's attributes and its benefits.
-
After the success of the company's first two months, Santana Rey continues to operate Business Solutions. (Transactions for the first two months are described in the Chapter 2 serial problem.) The...
-
Devon is planning a trip abroad to go scuba diving in the Caribbean. When does Devon ask you about travel insurance, which of the following would be a CORRECT response that you could provide to...
-
In this Matlab exercise sheet, we consider the heat equation of the form du 0u = Oz u(a,t) = u(b, t) = 0, u(x,0) = f(x). 0t 10.
-
Now consider another 1-year rate: the rate on one-year T-bills. Call this rate RTB. It is just related to the price of the (zero-coupon) T-bill via B0,1 1/(1+ RTB). Verify that if we observe = Rrepo...
-
Construct an ordered stem and leaf display for the following data. 75 74 94 92 84 80 73 77 81 60 78 93 8 9 10 83 102 72 100 Complete the ordered stem and leaf diagram below.
-
130 observations generated by scores on a psychological test administered to Peru- vian teenagers (ages 15, 16, and 17). For each of these teenagers the gender (male = 1, female = 2) and...
-
While the rules of differentiation allow us to compute the derivative of just about any function, there are practical situations in which these rules cannot be used. For example, in some...
-
Prepare a quarterly sales budget, a cash receipts budget, a production budget (in units), a direct materials purchases budget, cash disbursements for purchases budget, a direct labor budget, an...
-
Match each of the key terms with the definition that best fits it. _______________ A record of the sequence of data entries and the date of those entries. Here are the key terms from the chapter. The...
-
The proliferation of media options, in combination with the trend towards longer ads, is leading some analysts to predict the end of the traditional 30-second television spot. Using the Internet,...
-
Form into teams and devise a campaign for a brand using one of the seven advertising objectives discussed in the chapter (increase awareness, change consumers' beliefs, influence purchase intent,...
-
Identify the creative guidelines for developing television advertising. Think of an ad you have seen that does a particularly good job of employing items listed in the guidelines. Think of an ad that...
-
A light ray travels from medium l to medium 3 as shown. For these media, A. nz > n 13 B. n3 = n nz C. n3
-
A Jens produces a sharply focused, inverted image on a screen. What will you see on the screen if the lens is removed? A. The image will be inverted and blurry. B. The image will be upright and...
-
An object and lens are positioned to form a well-focused, inverted image on a viewing screen. Then a piece of cardboard is lowered just in front of the lens to cover the top half of the lens. Using...
Study smarter with the SolutionInn App